Calc Conductivity of an intrinsic semiconductor

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Homework Help Overview

The discussion revolves around calculating the conductivity of an intrinsic semiconductor at room temperature, focusing on the contributions of both electrons and holes as charge carriers.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to understand how to incorporate both electron and hole mobilities into the conductivity calculation. Some participants question how to express the total conductivity when considering two types of charge carriers.

Discussion Status

Participants are exploring the relationship between charge carrier density, mobility, and conductivity. Some have provided equations that include both types of carriers, while others are clarifying the implications of opposite charges and directions of movement. There is no explicit consensus yet on the final approach.

Contextual Notes

Participants are working within the constraints of provided data and are discussing the implications of multiple charge carriers in the context of semiconductor physics.

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Calculate the conductivity of an intrinsic semiconductor at room temperature and from the following data:

(n)Carrier density(where electron=holes)=2.9*10^19 carrier/m^3
Electron mobility = 0.45 m^2/V s
Hole Mobility = 0.23 m^2/V s
(q)Charge per electron/hole = 1.6*10^-19 coulomb/carrier

I know that conductivity = nqu

but how do I include the e and h mobility too?
 
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What is the conductivity if there are two kinds of charge carriers?

ehild
 
ehild said:
What is the conductivity if there are two kinds of charge carriers?

ehild

?
 
From Wikipedia:

When there is more than one species (e.g., a plasma with electrons and ions, or a semiconductor with electrons and holes), the total conductivity is
σ = ∑ niμi | qi |
i

where the ith species has number density ni, charge qi, and mobility μi.

ehild
 
σ = neqeμe+nhqhμh

Where the subscripts are electron and hole respectively.

You have to account for the fact that the carriers are of opposite charge and travel in opposite directions (I think). If in doubt, you can always ask on Thursday...
 

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